8022008592000 has 1152 divisors, whose sum is σ = 31435631201520. Its totient is φ = 1948852224000.

The previous prime is 8022008591981. The next prime is 8022008592019. The reversal of 8022008592000 is 2958002208.

It is an interprime number because it is at equal distance from previous prime (8022008591981) and next prime (8022008592019).

It can be written as a sum of positive squares in 24 ways, for example, as 6882563359296 + 1139445232704 = 2623464^2 + 1067448^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14828111730 + ... + 14828112270.

Almost surely, 2^{8022008592000} is an apocalyptic number.

8022008592000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8022008592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15717815600760).

8022008592000 is an abundant number, since it is smaller than the sum of its proper divisors (23413622609520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8022008592000 is a wasteful number, since it uses less digits than its factorization.

8022008592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 8022008592000 in words is "eight trillion, twenty-two billion, eight million, five hundred ninety-two thousand".